11125532000 has 192 divisors, whose sum is σ = 30038299200. Its totient is φ = 4016128000.

The previous prime is 11125531981. The next prime is 11125532053. The reversal of 11125532000 is 23552111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6555152 + ... + 6556848.

It is an arithmetic number, because the mean of its divisors is an integer number (156449475).

Almost surely, 2^11125532000 is an apocalyptic number.

11125532000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11125532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019149600).

11125532000 is an abundant number, since it is smaller than the sum of its proper divisors (18912767200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11125532000 is a wasteful number, since it uses less digits than its factorization.

11125532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 11125532000 in words is "eleven billion, one hundred twenty-five million, five hundred thirty-two thousand".